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225438624 = 2532839431
BaseRepresentation
bin11010110111111…
…10101110100000
3120201012110122200
431123332232200
5430203013444
634211533200
75405124315
oct1533765640
9521173580
10225438624
11106288414
12635ba200
1337923048
1421d24d0c
1514bd1969
hexd6feba0

225438624 has 72 divisors (see below), whose sum is σ = 648883872. Its totient is φ = 74232960.

The previous prime is 225438607. The next prime is 225438659. The reversal of 225438624 is 426834522.

225438624 is a `hidden beast` number, since 2 + 25 + 4 + 3 + 8 + 624 = 666.

225438624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19189 + ... + 28619.

It is an arithmetic number, because the mean of its divisors is an integer number (9012276).

Almost surely, 2225438624 is an apocalyptic number.

225438624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225438624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324441936).

225438624 is an abundant number, since it is smaller than the sum of its proper divisors (423445248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225438624 is a wasteful number, since it uses less digits than its factorization.

225438624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9530 (or 9519 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 225438624 is about 15014.6136813439. The cubic root of 225438624 is about 608.6151726049.

The spelling of 225438624 in words is "two hundred twenty-five million, four hundred thirty-eight thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2988 3984 5976 7968 9431 11952 18862 23904 28293 37724 56586 75448 84879 113172 150896 169758 226344 301792 339516 452688 679032 782773 905376 1358064 1565546 2348319 2716128 3131092 4696638 6262184 7044957 9393276 12524368 14089914 18786552 25048736 28179828 37573104 56359656 75146208 112719312 225438624